Stabilization of Polytopic Parameter-Varying Systems via Networked State Feedback

We study the problem of networked state feedback stabilization for a class of polytopic parameter-varying systems with the bounded rates of parameter variations, and then introduce a polytope modeling method so that the parameter variation rates take values from a vector polytope. Considering the state transmission delay, we obtain the design criterion of the networked robust controller based on the parameter-dependent Lyapunov-Krasovskii functional method and the slack matrix technique. Furthermore, with the phenomenon of parameter asynchrony between the plant and the controller, we give the synthesis condition of the networked gain-scheduled controller, which qualifies relatively lower conservativeness. Numerical simulations illustrate the effectiveness of the proposed method.